{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "J: [0.0, 0.1, 0.2, 0.3, 0.4]\n",
      "X: [1.007647461, 1.006044861, 0.99983313, 0.990688416, 0.9814599]\n",
      "X_dmrg,ref: [1.0, 0.998330543, 0.993288055, 0.98476522, 0.97256486]\n",
      "Z: [3.31e-05, 0.033583851, 0.067727168, 0.101855181, 0.136597886]\n",
      "Z_dmrg,ref: [-3.37e-16, 0.033370524, 0.066967962, 0.101039026, 0.135875005]\n",
      "dZ/dJ: [0.33550751, 0.33847034, 0.34135665, 0.34435359, 0.352712005]\n",
      "dZ/dJ.ref: [nan, nan, nan, nan, nan]\n",
      "Z_var: [2.492402613, 2.523758996, 2.500543883, 2.551730843, 2.548050923]\n",
      "Number of simulations: [16000, 16000, 16000, 16000, 16000]\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "# 定义文件路径\n",
    "file_path = 'combine Simulation_Data.csv'\n",
    "\n",
    "# 读取 CSV 文件\n",
    "data = pd.read_csv(file_path)\n",
    "\n",
    "# 将数据转换为字典\n",
    "data_dict = data.to_dict(orient='list')\n",
    "\n",
    "# 打印字典的前几个键值对以确认\n",
    "for key in data_dict:\n",
    "    print(f\"{key}: {data_dict[key][:5]}\")  # 打印每列的前5个元素\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     J         X  X_dmrg,ref         Z    Z_dmrg,ref     dZ/dJ  dZ/dJ.ref  \\\n",
      "0  0.0  1.007647    1.000000  0.000033 -3.370000e-16  0.335508        NaN   \n",
      "1  0.1  1.006045    0.998331  0.033584  3.337052e-02  0.338470        NaN   \n",
      "2  0.2  0.999833    0.993288  0.067727  6.696796e-02  0.341357        NaN   \n",
      "3  0.3  0.990688    0.984765  0.101855  1.010390e-01  0.344354        NaN   \n",
      "4  0.4  0.981460    0.972565  0.136598  1.358750e-01  0.352712        NaN   \n",
      "\n",
      "      Z_var  Number of simulations  \n",
      "0  2.492403                  16000  \n",
      "1  2.523759                  16000  \n",
      "2  2.500544                  16000  \n",
      "3  2.551731                  16000  \n",
      "4  2.548051                  16000  \n"
     ]
    }
   ],
   "source": [
    "\n",
    "import numpy as np\n",
    "\n",
    "data['dZ/dJ'] = np.gradient(data['Z'], data['J'])\n",
    "\n",
    "# 将求导后的数据保存回 CSV 文件\n",
    "data.to_csv(file_path, index=False)\n",
    "\n",
    "# 打印前5行以确认\n",
    "print(data.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 定义文件路径\n",
    "file_path = 'combine Simulation_Data.csv'\n",
    "\n",
    "# 读取 CSV 文件\n",
    "data = pd.read_csv(file_path)\n",
    "\n",
    "# 提取需要的列\n",
    "M_xxx = data['Z']\n",
    "Mxxx_dmrg = data['Z_dmrg,ref']\n",
    "x = data['J']  # 假设J是横坐标\n",
    "\n",
    "# 创建图表\n",
    "plt.figure(figsize=(10, 6))\n",
    "\n",
    "# 绘制Z的散点图\n",
    "plt.scatter(x, M_xxx, color='blue', label='M_z', alpha=0.5)\n",
    "\n",
    "# 绘制Z_var的折线图\n",
    "plt.plot(x, Mxxx_dmrg, color='red', label='Mz_dmrg', linewidth=2)\n",
    "\n",
    "# 添加标题和标签\n",
    "plt.title('our simulation vs dmrg')\n",
    "plt.xlabel('J')\n",
    "plt.ylabel('Values')\n",
    "plt.legend()\n",
    "\n",
    "# 显示图表\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 定义文件路径\n",
    "file_path = 'combine Simulation_Data.csv'\n",
    "\n",
    "# 读取 CSV 文件\n",
    "data = pd.read_csv(file_path)\n",
    "\n",
    "# 提取需要的列\n",
    "M_xxx = data['X']\n",
    "Mxxx_dmrg = data['X_dmrg,ref']\n",
    "x = data['J']  # 假设J是横坐标\n",
    "\n",
    "# 创建图表\n",
    "plt.figure(figsize=(10, 6))\n",
    "\n",
    "# 绘制Mxxx的散点图\n",
    "plt.scatter(x, M_xxx, color='blue', label='M_xxx', alpha=0.5)\n",
    "\n",
    "# 绘制dmrg的折线图\n",
    "plt.plot(x, Mxxx_dmrg, color='red', label='dmrg_exact', linewidth=2)\n",
    "\n",
    "# 添加标题和标签\n",
    "plt.title('our simulation vs dmrg')\n",
    "plt.xlabel('J')\n",
    "plt.ylabel('Values')\n",
    "plt.legend()\n",
    "\n",
    "# 显示图表\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 定义文件路径\n",
    "file_path = 'combine Simulation_Data.csv' \n",
    "\n",
    "# 读取 CSV 文件\n",
    "data = pd.read_csv(file_path)\n",
    "\n",
    "# 提取需要的列\n",
    "M_z = data['Z']\n",
    "Mz_DMRG = data['Z_dmrg,ref']\n",
    "M_xxx = data['X']\n",
    "Mxxx_DMRG = data['X_dmrg,ref']\n",
    "x = data['J']  # 假设J是横坐标\n",
    "\n",
    "# 设置全局字体为 LaTeX\n",
    "plt.rcParams['text.usetex'] = True\n",
    "plt.rcParams['font.family'] = 'serif'\n",
    "\n",
    "# 创建合并图表\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(20, 6))\n",
    "\n",
    "# 绘制图表 1 (M_z vs Mz_DMRG)\n",
    "ax1.scatter(x, M_z, color='blue', label=r'$M_z$', alpha=0.7, edgecolors='k')\n",
    "ax1.plot(x, Mz_DMRG, color='red', label=r'$M_{z,\\mathrm{DMRG}}$', linewidth=2, linestyle='--')\n",
    "ax1.set_title(r'Our Simulation vs DMRG for $M_z$', fontsize=16, fontweight='bold')\n",
    "ax1.set_xlabel(r'$J$', fontsize=14)\n",
    "ax1.set_ylabel(r'Values', fontsize=14)\n",
    "ax1.legend(fontsize=12)\n",
    "ax1.grid(True, linestyle='--', alpha=0.7)\n",
    "\n",
    "# 绘制图表 2 (M_xxx vs Mxxx_DMRG)\n",
    "ax2.scatter(x, M_xxx, color='green', label=r'$M_{xxx}$', alpha=0.7, edgecolors='k')\n",
    "ax2.plot(x, Mxxx_DMRG, color='purple', label=r'$M_{xxx,\\mathrm{DMRG}}$', linewidth=2, linestyle='-.')\n",
    "ax2.set_title(r'Our Simulation vs DMRG for $M_{xxx}$', fontsize=16, fontweight='bold')\n",
    "ax2.set_xlabel(r'$J$', fontsize=14)\n",
    "ax2.set_ylabel(r'Values', fontsize=14)\n",
    "ax2.legend(fontsize=12)\n",
    "ax2.grid(True, linestyle='--', alpha=0.7)\n",
    "\n",
    "# 保存合并后的图表为 SVG 矢量图\n",
    "plt.savefig('combined_simulation_vs_dmrg.svg', format='svg')\n",
    "\n",
    "# 显示合并后的图表\n",
    "plt.show()\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
